7L 8s

7L 8s refers to a Moment of Symmetry scale with 7 large steps and 8 small steps. One especially notable temperament that falls into this MOS pattern is porcupine, of the porcupine family.

Generator					octachord	g	2g	3g	4g	5g	6g	7g	Comments
2\15					1 1 1 1 1 1 1	160	320	480	640	800	960	1120
				9\67	4 5 4 5 4 5 4	161.2	322.4	483.6	644.8	806	967.2	1128.4
			7\52		3 4 3 4 3 4 3	161.5	323.1	484.6	646.2	807.7	969.2	1130.8
		5\37			2 3 2 3 2 3 2	162.2	324.3	486.5	648.6	810.8	973	1135.1	Optimal rank range (L/s=3/2) porcupine
					2 pi 2 pi 2 pi 2	162.4	324.8	487.2	649.6	812	974.4	1136.8
				13\96	5 8 5 8 5 8 5	162.5	325	487.5	650	812.5	975	1137.5
					1 phi 1 phi 1 phi 1	162.6	325.1	487.7	650.2	812.8	975.35	1137.9	Golden porcupine when L/s=phi
			8\59		3 5 3 5 3 5 3	162.7	325.4	488.1	650.8	813.6	976.3	1139
					1 √3 1 √3 1 √3 1	162.9	325.9	488.7	651.6	814.55	977.5	1140.4
	3\22				1 2 1 2 1 2 1	163.6	327.3	490.9	654.5	818.2	981.8	1145.5	Boundary of propriety (generators smaller than this are proper)
			7\51		2 5 2 5 2 5 2	164.7	329.4	494.1	658.8	823.5	988.2	1152.9
					1 phi+1 1 phi+1 1 phi+1 1	164.9	329.8	494.75	659.7	824.6	989.5	1154.4
				11\80	3 8 3 8 3 8 3	165	330	495	660	825	990	1155
					1 e 1 e 1 e 1	165.1	330.2	495.3	660.3	825.4	990.5	1155.6	L/s=e
		4\29			1 3 1 3 1 3 1	165.5	331	496.6	662.1	827.6	993.1	1158.6
					1 pi 1 pi 1 pi 1	165.7	331.4	497.1	662.85	828.5	994.3	1160	L/s=pi
			5\36		1 4 1 4 1 4 1	166.7	333.3	500	666.7	833.3	1000	1166.7
				6\43	1 5 1 5 1 5 1	167.4	334.9	502.3	669.8	837.2	1004.65	1172.1
1\7					0 1 0 1 0 1 0	171.4	342.9	514.3	685.7	857.1	1028.6	1200